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On a q-analogue of the log-Γ-function

Published online by Cambridge University Press:  22 January 2016

Hirofumi Tsumura*
Affiliation:
Aoyama Gakuin High School, 4-4-25 Shibuya Shibuya-ku, Tokyo 150, Japan
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For complex numbers q and u, Carlitz defined the q-Bernoulli numbers {βk(q)} and the q-Euler numbers {Hk(u, q)} associated to u by

and

Information

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1994